Cross
| Cross | |||||||||
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| Pattern type | Oscillator | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Number of cells | 28 | ||||||||
| Bounding box | 10 × 10 | ||||||||
| Period | 3 (mod: 3) | ||||||||
| Heat | 26.7 | ||||||||
| Volatility | 0.83 | 0.83 | ||||||||
| Kinetic symmetry | *k | ||||||||
| Discovered by | Robert Wainwright | ||||||||
| Year of discovery | 1989 | ||||||||
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Cross is a period-3 oscillator that was found in October 1989 by Robert Wainwright.[1]
In August 2004 Jason Summers found a 16-glider synthesis of this oscillator.[2]
According to Catagolue, it is the fifty-seventh most common object in even 8-fold symmetry (D8_4), occurring in 1 in 4600 soups.
Extensions
Cross is the smallest in an infinite family of period 3 oscillators, the next of which is cross 2. The fact that this infinite family of oscillators exists shows that there are an infinite number of oscillators that are polyominoes in at least one of their phases.
An alternate form of extension can be derived from the fact that one of its phases involves four detached segments. Two other oscillators, the pulsar and bracket pulsar, visually resemble this phase, and the cross can be extended in much the same way as these other oscillators can.
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Four partial copies of the star can mutually stabilise partial copies of the cross joining them to form a larger loop-shaped period-3 oscillator, as appeared in a D8_4 soup submitted to Catagolue by Charity Engine on 2022-11-12.
| star-cross weld hybrid (click above to open LifeViewer) Catagolue: here |
See also
- Star
- Bent keys, odd keys, and short keys, which have the same edge behaviour
References
External links
- Cross at the Life Lexicon
- Cross at Adam P. Goucher's Catagolue
- Patterns
- Oscillators with 28 cells
- Periodic objects with minimum population 28
- Patterns with 28 cells
- Patterns found by Robert Wainwright
- Patterns found in 1989
- Patterns that can be constructed with 12 gliders
- Oscillators
- Oscillators with period 3
- Oscillators with mod 3
- Oscillators with heat 26
- Oscillators with volatility 0.83
- Oscillators with strict volatility 0.83
- Oscillators with *k symmetry
- Semi-natural periodic objects
- Sparkers
- Sparkers with period 3
- Weak sparkers
- Polyominoes
- Extendable oscillators